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Finding the Third Proportional to 567,606 and 878,947

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Solution

The third proportional to 567,606 and 878,947 is: 1,361,063.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,606 : 878,947 = 878,947 : x
  2. Step 2: Convert to fraction form
    567,606/878,947 = 878,947/x
  3. Step 3: Cross multiply
    567,606x = 878,947 × 878,947
  4. Step 4: Simplify right side
    567,606x = 772,547,828,809
  5. Step 5: Solve for x
    x = 772,547,828,809/567,606
  6. Step 6: Final answer
    x = 1,361,063.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.